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(* $Id$ *)
(*i*)
open Pp
open Names
open Generic
open Term
open Evd
open Environ
(*i*)
(* Flags for profiling reductions. *)
val stats : bool ref
val share : bool ref
(*s The set of reduction kinds. *)
type red_kind = BETA | DELTA of sorts oper | IOTA
type reds = {
r_beta : bool;
r_delta : sorts oper -> bool;
r_iota : bool }
val no_red : reds
val beta_red : reds
val betaiota_red : reds
val betadeltaiota_red : reds
val red_set : reds -> red_kind -> bool
(*s Reduction function specification. *)
type red_mode = UNIFORM | SIMPL | WITHBACK
type flags = red_mode * reds
(* [(UNIFORM,r)] == [r]-reduce in any context.
[(SIMPL,r)] == bdi-reduce under cases or fix, [r] otherwise
(like hnf does).
[(WITHBACK,r)] == internal use: means we are under a case
or in rec. arg. of fix. *)
val flags_under : flags -> flags
val red_top : flags -> red_kind -> bool
val red_under : flags -> red_kind -> bool
val no_flag : flags
val beta : flags
val betaiota : flags
val betadeltaiota : flags
val hnf_flags : flags
(*s Call by value functions *)
type cbv_value =
| VAL of int * constr
| LAM of name * constr * constr * cbv_value subs
| FIXP of sorts oper * constr array * cbv_value subs * cbv_value list
| CONSTR of int * (section_path * int) * cbv_value array * cbv_value list
val shift_value : int -> cbv_value -> cbv_value
val contract_fixp : cbv_value subs -> constr -> cbv_value subs * constr
type stack =
| TOP
| APP of cbv_value list * stack
| CASE of constr * constr array * case_info * cbv_value subs * stack
val stack_app : cbv_value list -> stack -> stack
val under_case_stack : stack -> bool
val strip_appl : cbv_value -> stack -> cbv_value * stack
val red_allowed : flags -> stack -> red_kind -> bool
val reduce_const_body :
(cbv_value -> cbv_value) -> cbv_value -> stack -> cbv_value * stack
val fixp_reducible :
(cbv_value -> cbv_value) -> flags -> sorts oper -> stack -> bool
(* normalization of a constr: the two functions to know... *)
type 'a cbv_infos
val create_cbv_infos : flags -> 'a unsafe_env -> 'a cbv_infos
val cbv_norm : 'a cbv_infos -> constr -> constr
(* recursive functions... *)
val cbv_stack_term : 'a cbv_infos ->
stack -> cbv_value subs -> constr -> cbv_value
val cbv_norm_term : 'a cbv_infos -> cbv_value subs -> constr -> constr
val cbv_norm_more : 'a cbv_infos -> cbv_value -> cbv_value
val norm_head : 'a cbv_infos ->
cbv_value subs -> constr -> stack -> cbv_value * stack
val apply_stack : 'a cbv_infos -> constr -> stack -> constr
val cbv_norm_value : 'a cbv_infos -> cbv_value -> constr
(*s Lazy reduction. *)
type 'a freeze
type 'a frterm =
| FRel of int
| FVAR of identifier
| FOP0 of 'a
| FOP1 of 'a * 'a freeze
| FOP2 of 'a * 'a freeze * 'a freeze
| FOPN of 'a * 'a freeze array
| FOPL of 'a * 'a freeze list
| FLAM of name * 'a freeze * 'a term * 'a freeze subs
| FLAMV of name * 'a freeze array * 'a term array * 'a freeze subs
| FLIFT of int * 'a freeze
| FFROZEN of 'a term * 'a freeze subs
val frterm_of : 'a freeze -> 'a frterm
val is_val : 'a freeze -> bool
val lift_frterm : int -> 'a freeze -> 'a freeze
val lift_freeze : int -> 'a freeze -> 'a freeze
val freeze : 'a freeze subs -> 'a term -> 'a freeze
val freeze_vect : 'a freeze subs -> 'a term array -> 'a freeze array
val freeze_list : 'a freeze subs -> 'a term list -> 'a freeze list
val traverse_term : 'a freeze subs -> 'a term -> 'a freeze
val lift_term_of_freeze : lift_spec -> 'a freeze -> 'a term
(* Back to constr *)
val fstrong : ('a freeze -> 'a freeze) -> lift_spec -> 'a freeze -> 'a term
val term_of_freeze : 'a freeze -> 'a term
val applist_of_freeze : 'a freeze array -> 'a term list
(* contract a substitution *)
val contract_subst : int -> 'a freeze -> 'a freeze -> 'a freeze
(* Calculus of Constructions *)
type fconstr = sorts oper freeze
val inject : constr -> fconstr
val strip_frterm :
int -> fconstr -> fconstr array list -> int * fconstr * fconstr array
val strip_freeze : fconstr -> int * fconstr * fconstr array
(* Auxiliary functions for (co)fixpoint reduction *)
val contract_fix_vect : (fconstr -> fconstr) -> sorts oper frterm -> fconstr
val copy_case : case_info -> fconstr array -> fconstr -> fconstr
(* Iota analysis: reducible ? *)
type case_status =
| CONSTRUCTOR of int * fconstr array
| COFIX of int * int * fconstr array * fconstr array
| IRREDUCTIBLE
(* Constant cache *)
type 'a clos_infos
val create_clos_infos : flags -> 'a unsafe_env -> 'a clos_infos
val clos_infos_env : 'a clos_infos -> 'a unsafe_env
(* Reduction function *)
val norm_val : 'a clos_infos -> fconstr -> constr
val whd_val : 'a clos_infos -> fconstr -> constr
val fhnf: 'a clos_infos -> fconstr -> int * fconstr * fconstr array
val fhnf_apply : 'a clos_infos ->
int -> fconstr -> fconstr array -> int * fconstr * fconstr array
val search_frozen_cst : 'a clos_infos ->
sorts oper -> fconstr array -> fconstr option
(* recursive functions... *)
val unfreeze : 'a clos_infos -> fconstr -> fconstr
val whnf_frterm : 'a clos_infos -> fconstr -> fconstr
val whnf_term : 'a clos_infos -> fconstr subs -> constr -> fconstr
val whnf_apply : 'a clos_infos -> fconstr -> fconstr array -> fconstr
|
